文献类型：期刊文献

中文题名：力学系统的二阶梯度表示

英文题名：A second order gradient representation of mechanics system

作者：楼智美[1];梅凤翔[2]

机构：[1]绍兴文理学院物理系;[2]北京理工大学力学系

年份：2012

卷号：61

期号：2

起止页码：337

中文期刊名：物理学报

外文期刊名：Acta Physica Sinica

收录：SCI-EXPANDED(收录号：WOS:000302129500048)、CSTPCD、、北大核心2011、Scopus、CSCD2011_2012、WOS、北大核心、CSCD

基金：Project supported by the National Natural Science Foundation of China (Grant No. 10932002).

语种：中文

中文关键词：完整力学系统;非完整力学系统;梯度

外文关键词：holonomic mechanics system; nonholonomic mechanics system; gradient

中文摘要：研究力学系统运动微分方程的梯度表示以及二阶梯度表示.将完整和非完整力学系统的微分方程在正则坐标下表出.给出系统成为梯度系统以及二阶梯度系统的条件.举例说明结果的应用.

外文摘要：A gradient representation and a second order gradient representation of the mechanics system are studied.The differential equations of motion of the holonomic and nonholonomic mechanics systems are expressed in the canonical coordinates.A condition under which the system can be considered as a gradient system is given.A condition under which the system can be considered as a second order gradient system is obtained.Two examples are given to illustrate the application of the result.